3617999 ÷ 558 
Our goal is to divide 3617999 by 558.

On to step 1:
When dividing 3 by 558, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 558

Going ahead to step 2:
If we divide 36 by 558, we get 0 and a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Append the next digit (1) from the dividend to 36 and continue with: 361 / 558

Step 3:
When dividing 361 by 558, we get 0 with a remainder of 361.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 361 and we're left with 361.
Bring next digit (7) of the dividend behind the 361 and repeat the process: 3617 / 558

Advancing to step 4:
If we divide 3617 by 558, we get 6 and a remainder of 269.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 269 after subtracting 3348 from 3617.
Take the next digit (9) from the dividend and append it to 269, then repeat: 2699 / 558

Going ahead to step 5:
558 goes into 2699 4 times with a remainder of 467.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
If we take 2232 away from 2699, we end up with 467.
Include the next digit (9) from the dividend after 467, then repeat: 4679 / 558

Let's proceed to step 6:
558 can be fit into 4679 8 times, resulting in a remainder of 215.
Write down 8 as next digit of the result. 
Result so far: 648.0
If we take 4464 away from 4679, we end up with 215.
Include the next digit (9) from the dividend after 215, then repeat: 2159 / 558

Going ahead to step 7:
When dividing 2159 by 558, we get 3 with a remainder of 485.
Use 3 as the next digit of our solution. 
Result so far: 6483.0
If we subtract 1674 from 2159, we get 485.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

On to step 8:
4850 divided by 558 is 8 with a remainder of 386.
Put 8 as the next digit of the answer. 
Result so far: 6483.8
Deduct 4464 from 4850 and we're left with 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

On to step 9:
If we divide 3860 by 558, we get 6 and a remainder of 512.
The number 6 becomes the next digit in our result. 
Result so far: 6483.86
Subtract 3348 from 3860 to get 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Step 10:
If we divide 5120 by 558, we get 9 and a remainder of 98.
Use 9 as the next digit of our solution. 
Result so far: 6483.869
The remainder is 98 after subtracting 5022 from 5120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Step 11:
558 can be fit into 980 1 times, resulting in a remainder of 422.
The next digit of our result is 1. 
Result so far: 6483.8691
If we take 558 away from 980, we end up with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

On to step 12:
558 goes into 4220 7 times with a remainder of 314.
The next digit of our result is 7. 
Result so far: 6483.86917
If we take 3906 away from 4220, we end up with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Advancing to step 13:
558 goes into 3140 5 times with a remainder of 350.
Use 5 as the next digit of our solution. 
Result so far: 6483.869175
Subtract 2790 from 3140 to get 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Let's proceed to step 14:
558 can be fit into 3500 6 times, resulting in a remainder of 152.
Write down 6 as next digit of the result. 
Result so far: 6483.8691756
The remainder is 152 after subtracting 3348 from 3500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Advancing to step 15:
If we divide 1520 by 558, we get 2 and a remainder of 404.
The number 2 becomes the next digit in our result. 
Result so far: 6483.86917562
Subtracting 1116 from 1520 leaves us with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Our division results in 6483.86917562 with a remaining 4.04e-07.